A268515 Records in A002945 (continued fraction expansion of cube root of 2).

1, 3, 5, 8, 14, 15, 534, 7451, 12737, 22466, 68346, 148017, 217441, 320408, 533679, 4156269, 4886972, 10253793, 13761184, 14358891, 35950987, 68665026, 455880544, 10065016098

Offset: 1

Author

N. J. A. Sloane, Feb 07 2016, following a suggestion from Doron Zeilberger

Keywords

• nonn
• more

Comments

a(1)-a(18) computed by John M. Campbell, Oct 23 2010 (cf. A181495).

It is not known if this sequence is infinite (i.e., whether the continued fraction expansion is bounded). [Davenport]

References

• H. Davenport, The Higher Arithmetic: An Introduction to the Theory of Numbers, Cambridge, 2008.

Crossrefs

Cf. A002945, A181495 (positions of records).

Extensions

a(19)-a(21) from Zak Seidov, Feb 08 2016

a(22)-a(24) from Hans Havermann, Feb 08 2016

Name corrected by Nathan Fox, Feb 08 2016